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59122420 = 22572234361
BaseRepresentation
bin1110000110001…
…0001011110100
311010020201201021
43201202023310
5110113404140
65511110524
71315350400
oct341421364
9133221637
1059122420
1130411605
1217972444
13c3306a6
147bd0100
1552ccb4a
hex38622f4

59122420 has 144 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 18627840.

The previous prime is 59122417. The next prime is 59122421. The reversal of 59122420 is 2422195.

59122420 = 2312 + 2322 + ... + 5742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59122421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 969190 + ... + 969250.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 259122420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

59122420 is an abundant number, since it is smaller than the sum of its proper divisors (97617548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59122420 is a wasteful number, since it uses less digits than its factorization.

59122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 59122420 is about 7689.1104817137. The cubic root of 59122420 is about 389.5687101631.

The spelling of 59122420 in words is "fifty-nine million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 43 46 49 61 70 86 92 98 115 122 140 161 172 196 215 230 244 245 301 305 322 427 430 460 490 602 610 644 805 854 860 980 989 1127 1204 1220 1403 1505 1610 1708 1978 2107 2135 2254 2623 2806 2989 3010 3220 3956 4214 4270 4508 4945 5246 5612 5635 5978 6020 6923 7015 8428 8540 9821 9890 10492 10535 11270 11956 13115 13846 14030 14945 18361 19642 19780 21070 22540 26230 27692 28060 29890 34615 36722 39284 42140 48461 49105 52460 59780 60329 68747 69230 73444 91805 96922 98210 120658 128527 137494 138460 183610 193844 196420 241316 242305 257054 274988 301645 343735 367220 422303 484610 514108 603290 642635 687470 844606 969220 1206580 1285270 1374940 1689212 2111515 2570540 2956121 4223030 5912242 8446060 11824484 14780605 29561210 59122420